Finding the Third Proportional to 51,837 and 106,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,837 : 106,945.50 = 106,945.50 : x
2. Step 2: Convert to fraction form
   51,837/106,945.50 = 106,945.50/x
3. Step 3: Cross multiply
   51,837x = 106,945.50 × 106,945.50
4. Step 4: Simplify right side
   51,837x = 11,437,339,970.25
5. Step 5: Solve for x
   x = 11,437,339,970.25/51,837
6. Step 6: Final answer
   x = 220,640.47